I am thinking about it
If you are recording for the pure performance alone, indeed, the room is a horrible idea.
However, i think you're missing that, in the case of comparing two cables, using a system which consistently amplifies the base signal is desirable in this instance.
The speakers impart distortion and colouration, yet you're able to throw them out of the equation because they're constant. So why not the room?
Sound like crap? sure! But that's not what this is about, this is about measuring differences. It's another very desirable way to amplify what will be extremely small differences out of the ends of those wires. The speakers do their part - you're happy for that - and a room too can also assist in the process, considering it's constant, and if the only information you seek is the difference between cables.
Subtle time shifts, frequency response, all that would be amplified by the room. The speaker off-axis differences between the signals would also be captured in this way, and not in the method you're proposing.
It's like doing a diff on two different convolution reverb samples, if the room is the same, you go part way to detecting differences in the initial signal.
Anyways, just an unconventional DIY idea to compare cables. It holds ground technically.
/A
.